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Zinaida [17]
2 years ago
11

How many solutions does this equation have? 6b = 3b + 3b is there a solution

Mathematics
1 answer:
sineoko [7]2 years ago
3 0

Answer:

Yes

The answer is 1

Step-by-step explanation:

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Cos x cos (-x) -sin x sin (-x) = 1. Verify the Identity. Please Show All Steps.
umka21 [38]

Answer:

cos x cos (-x) -sin x sin (-x) = 1 ⇒ proved down

Step-by-step explanation:

* Lets revise the angles in the four quadrants

- If angle x is in the first quadrant, then the equivalent angles to it are

# 180 - x ⇒ second quadrant (sin (180 - x) = sin x , cos (180 - x) = -cos x

  tan (180 - x) = -tan x)

# 180 + x ⇒ third quadrant (sin (180 - x) = -sin x , cos (180 - x) = -cos x

  tan (180 - x) = tan x)

# 360 - x ⇒ fourth quadrant (sin (180 - x) = -sin x , cos (180 - x) = cos x

  tan (180 - x) = -tan x)

# -x ⇒fourth quadrant (sin (- x) = -sin x , cos (- x) = cos x

  tan (- x) = -tan x)

* Lets solve the problem

∵ L. H .S is ⇒ cos x cos (-x) - sin (x) sin (-x)

- From the rules above cos x = cos(-x)

∴ cos x cos (-x) = cos x cos x

∴ cos x cos (-x) = cos² x

- From the rule above sin (-x) = - sin x

∴ sin x sin (-x) = sin x [- sin x]

∴ sin x sin (-x) = - sin² x

∴ cos x cos (-x) - sin (x) sin (-x) = cos² x - (- sin² x)

∴ cos x cos (-x) - sin (x) sin (-x) = cos² x + sin² x

∵ cos² x + sin² x = 1

∴ R.H.S = 1

∴ L.H.S = R.H.S

∴ cos x cos (-x) -sin x sin (-x) = 1

8 0
2 years ago
If 12 + 2 = 14, then 14 = 12 + 2 true or false​
SVEN [57.7K]

TRUE TRUE TRUE TRUE TRUE

5 0
3 years ago
Read 2 more answers
A container of milk will hold 3,000 milliliter. What is the amount in liters?
pashok25 [27]

Answer:

3 Liters

Step-by-step explanation:

3 0
3 years ago
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bobby pays a $25 membership free to join YMCA gym. This gym allows members to attend any exercise class for only $4. The linear
blagie [28]

Answer:

Step-by-step explanation:

T = 4c + 25....where c = # of classes and T = total cost

2 classes...so sub in 2 for c and solve for T

T = 4(2) + 25

T = 8 + 25

T = 33 <==== with 2 classes ,its $ 33

4 classes....so sub in 4 for c and solve for T

T = 4(4) + 25

T = 16 + 25

T = 41 <==== with 4 classes, its $ 41

8 classes....sub in 8 for c

T = 4(8) + 25

T = 32 + 25

T = $ 57 <==== with 8 classes, its $ 57

10 classes...sub in 10 for c

T = 4(10) + 25

T = 40 + 25

T = 65 <===== with 10 classes, its $ 65

7 0
3 years ago
Solve the equation and enter the value of x below.<br> x+ (9) = -15<br> X=
Wittaler [7]

Answer:

x=-24 is the correct answer

3 0
3 years ago
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